According to the meaning of the question:16-1x =14-16,

Remove the denominator: 2x- 12=3x-2x,

Transfer items: 2x+2x-3x= 12,

Merge similar items: x = 12.

Test: substitute x= 12 into the simplest common denominator 12x≠0,

The solution of the original fractional equation is: x = 12.